Pearson Edexcel International GCSE (9–1) · MATHEMATICS A · Chapter
Number 5
18 practice questions
Practice questions
1–3 of 3 · Hard
Question 1
4 marks · Hard
Answer and see the solution →A scientist measures the mass of a metal rod to be 756.7 g to the nearest gram and its length to be 120.5 cm to the nearest 0.1 cm.
(a)[2 marks]Write down the lower and upper bounds for the mass and length measurements.
(b)[2 marks]Calculate the minimum and maximum possible density of the rod in g/cm³. Density = Give both answers correct to 3 significant figures.
Question 2
4 marks · Hard
Answer and see the solution →The diameter of a pipe is measured as 8.60 cm to the nearest 0.05 cm. The length of the pipe is given as 2.00 m to the nearest 1 cm.
The volume of the pipe is calculated using the formula: \[ V = \pi r^2 h \] where is the radius (in cm) and is the length (in cm). Calculate the lower and upper bounds for the volume of the pipe, giving your answers to 3 significant figures.
Question 3
4 marks · Hard
Answer and see the solution →A stopwatch measures time in a sprint race as 12.4 seconds, correct to the nearest 0.1 second.
The distance of the race is measured as 100 metres, correct to the nearest metre.
Calculate the upper bound for the runner's average speed in m/s. Give your answer correct to 3 significant figures. (Speed = distance/time)